Answer:
5.5x+7.146 (the six is repeating)
Step-by-step explanation:
Answer:
![A = [\frac{32}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B32%7D%7B3%7D%5D)
Step-by-step explanation:
Given


Required
Determine the area bounded by the curves
First, we need to determine their points of intersection

Subtract 2x from both sides

Multiply through by -1

Take square root of both sides
or 
This Area is then calculated as thus
![A = \int\limits^a_b {[y_1 - y_2]} \, dx](https://tex.z-dn.net/?f=A%20%3D%20%5Cint%5Climits%5Ea_b%20%7B%5By_1%20-%20y_2%5D%7D%20%5C%2C%20dx)
<em>Where a = 2 and b = -2</em>
Substitute values for
and 

Open Brackets

Collect Like Terms


Integrate
](https://tex.z-dn.net/?f=A%20%3D%20%5B-%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D%20%2B4x%5D%282%2C-2%29)
![A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]](https://tex.z-dn.net/?f=A%20%3D%20%5B-%5Cfrac%7B2%5E%7B3%7D%7D%7B3%7D%20%2B4%282%29%5D%20-%20%5B-%5Cfrac%7B-2%5E%7B3%7D%7D%7B3%7D%20%2B4%28-2%29%5D)
![A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]](https://tex.z-dn.net/?f=A%20%3D%20%5B-%5Cfrac%7B8%7D%7B3%7D%20%2B8%5D%20-%20%5B-%5Cfrac%7B-8%7D%7B3%7D%20-8%5D)
![A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B-8%2B%2024%7D%7B3%7D%5D%20-%20%5B%5Cfrac%7B8%7D%7B3%7D%20-8%5D)
![A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B-8%2B%2024%7D%7B3%7D%5D%20-%20%5B%5Cfrac%7B8-24%7D%7B3%7D%5D)
![A = [\frac{16}{3}] - [\frac{-16}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%5D%20-%20%5B%5Cfrac%7B-16%7D%7B3%7D%5D)
![A = [\frac{16}{3}] + [\frac{16}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%5D%20%2B%20%5B%5Cfrac%7B16%7D%7B3%7D%5D)
![A = [\frac{16 + 16}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B16%20%2B%2016%7D%7B3%7D%5D)
![A = [\frac{32}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B32%7D%7B3%7D%5D)
Hence, the Area is:
![A = [\frac{32}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B32%7D%7B3%7D%5D)
The answer is C which is 25.08
Answer:
The amount of money that Darcy and Jason have together is $124
Step-by-step explanation:
Let
x -----> amount of money that Darcy has
y -----> amount of money that Jason has
z ----> amount of money that Maria has
we know that
------> equation A
----->
-----> equation B
-----> equation C
substitute equation B and equation C in equation A and solve for y





Find the value of x
-----> 
so
The amount of money that Darcy has is $52
The amount of money that Jason has is $72
therefore
$52+$72=$124
The amount of money that Darcy and Jason have together is $124
Answer:
7x + 2y = 1
Step-by-step explanation:
1. Find the slope of the line.
(y2-y1)/(x2-x1) ----> (11 - (-3))/((-3) -1) ----> (11+3)/ (-3 -1) ----> 14/-4
*lets simplify into (7/-2)*
2. Write into slope intercept form.
y=mx+b (m is the slope) (b is the y intercept)
y = (7/-2)x + b
We now need to find the value of b, this can be done by plugging in values of x and y, and using algebra to solve.
11 = (7/-2)(-3) + b
11 = 10.5 + b
b = 0.5 or 1/2
slope intercept form y = (7/-2)x + 1/2
Now we convert to standard form: ax+by=c
*In this form we our a term cannot be a fraction nor can it be negative*
1. Get x and y on the same side, and since our x term is negative right now, we can make it positive by adding it on both sides.
(7/2)x + y = 1/2
2. We now want to get rid of the fraction in term a, so we multiply the entire function by two, so the denominator cancels out.
2(7/2)x + 2y = 2(1/2)
Simplify and you get
7x + 2y = 1